10230074869248 has 840 divisors, whose sum is σ = 33472465982208. Its totient is φ = 3120484663296.

The previous prime is 10230074869237. The next prime is 10230074869249. The reversal of 10230074869248 is 84296847003201.

10230074869248 is a `hidden beast` number, since 1 + 0 + 2 + 30 + 0 + 7 + 486 + 92 + 48 = 666.

10230074869248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10230074869194 and 10230074869203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10230074869249) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 8011021186 + ... + 8011022462.

Almost surely, 2^{10230074869248} is an apocalyptic number.

10230074869248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10230074869248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16736232991104).

10230074869248 is an abundant number, since it is smaller than the sum of its proper divisors (23242391112960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10230074869248 is an equidigital number, since it uses as much as digits as its factorization.

10230074869248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 10230074869248 in words is "ten trillion, two hundred thirty billion, seventy-four million, eight hundred sixty-nine thousand, two hundred forty-eight".